Since you chose to let him repair it, since it has been put there, trust him fully!
Like longines watches, it is generally better to go to reputable after-sales maintenance, although it is a bit expensive.
But don't worry too much about this small booth. After all, not all parts are suitable for Longines. If he wants to change a part, it may take a lot of trouble, and the average businessman should put credit first.
So don't worry too much about him changing parts. The only worry is whether the small watch hand he gave you is the original product.
Have fun!